Question
6) Do people of different age groups differ in their response to e-mail messages? A survey by the Cent of the Digital Future of the University of Southern California reported that 64.4% of users over 70 years of age believe that e-mail messages should be answered quickly as compared to 57.8% of users 12 to 50 years old. Suppose that the survey was based on 1,000 users over 70 years of age and 1,000 users 12 to 50 years old. Is there evidence of a significant difference between the two age groups that believe that e-mail messages should be answered quickly? Use alpha = .01.
(State the Hypothesis Scenario, calculate the test statistics, p - value and state the conclusion)
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Null Hypothesis, Ho: there is no significant difference between proportions of response to e-mail messages of different age groups. That is p1 – p2 = 0
Alternative Hypothesis, h1: there is significant difference between proportions of response to e-mail messages of different age groups. That is p1 – p2 is not equal to 0.
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